Cora, Gabriele; Musina, Roberta; Nazarov, Alexander I. Hardy type inequalities with mixed weights in cones. arXiv:2305.05034 Preprint, arXiv:2305.05034 [math.AP] (2023). MSC: 46E35 35A23 26D10 BibTeX Cite \textit{G. Cora} et al., ``Hardy type inequalities with mixed weights in cones'', Preprint, arXiv:2305.05034 [math.AP] (2023) Full Text: arXiv OA License
Musina, Roberta; Nazarov, Alexander I. Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. (English) Zbl 1470.35406 J. Differ. Equations 280, 292-314 (2021). Reviewer: Zhiqing Han (Dalian) MSC: 35R11 35B25 35B06 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, J. Differ. Equations 280, 292--314 (2021; Zbl 1470.35406) Full Text: DOI arXiv
Musina, Roberta; Nazarov, Alexander I. Sobolev inequalities for fractional Neumann Laplacians on half spaces. (English) Zbl 1459.35100 Adv. Calc. Var. 14, No. 1, 127-145 (2021). MSC: 35J05 35R11 47A63 35A23 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, Adv. Calc. Var. 14, No. 1, 127--145 (2021; Zbl 1459.35100) Full Text: DOI
Creo, Simone; Lancia, Maria Rosaria; Nazarov, Alexander I. Regularity results for nonlocal evolution Venttsel’ problems. (English) Zbl 1474.35358 Fract. Calc. Appl. Anal. 23, No. 5, 1416-1430 (2020). MSC: 35K20 35B65 35R02 35B45 PDFBibTeX XMLCite \textit{S. Creo} et al., Fract. Calc. Appl. Anal. 23, No. 5, 1416--1430 (2020; Zbl 1474.35358) Full Text: DOI arXiv
Musina, Roberta; Nazarov, Alexander I. A note on truncations in fractional Sobolev spaces. (English) Zbl 1479.46042 Bull. Math. Sci. 9, No. 1, Article ID 1950001, 7 p. (2019). MSC: 46E35 47H30 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, Bull. Math. Sci. 9, No. 1, Article ID 1950001, 7 p. (2019; Zbl 1479.46042) Full Text: DOI arXiv
Minarsky, A. M.; Nazarov, A. I. On the spectra of boundary value problems generated by some one-dimensional embedding theorems. (English. Russian original) Zbl 1483.34038 J. Math. Sci., New York 236, No. 4, 413-418 (2019); translation from Zap. Nauchn. Semin. POMI 459, 58-65 (2017). MSC: 34B09 34L15 46E35 PDFBibTeX XMLCite \textit{A. M. Minarsky} and \textit{A. I. Nazarov}, J. Math. Sci., New York 236, No. 4, 413--418 (2019; Zbl 1483.34038); translation from Zap. Nauchn. Semin. POMI 459, 58--65 (2017) Full Text: DOI
Bankevich, S. V.; Nazarov, A. I. On monotonicity of some functionals with variable exponent under symmetrization. (English) Zbl 1412.26041 Appl. Anal. 98, No. 1-2, 362-373 (2019). Reviewer: Andrzej Świerniak (Gliwice) MSC: 26D15 PDFBibTeX XMLCite \textit{S. V. Bankevich} and \textit{A. I. Nazarov}, Appl. Anal. 98, No. 1--2, 362--373 (2019; Zbl 1412.26041) Full Text: DOI arXiv
Musina, Roberta; Nazarov, Alexander I. Fractional Hardy-Sobolev inequalities on half spaces. (English) Zbl 06992582 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 32-40 (2019). MSC: 47A63 35A23 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 32--40 (2019; Zbl 06992582) Full Text: DOI arXiv
Nazarov, A. I.; Shcheglova, A. P. On the sharp constant in the “magnetic” 1D embedding theorem. (English) Zbl 1400.46029 Russ. J. Math. Phys. 25, No. 1, 67-72 (2018). MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{A. P. Shcheglova}, Russ. J. Math. Phys. 25, No. 1, 67--72 (2018; Zbl 1400.46029) Full Text: DOI arXiv
Musina, Roberta; Nazarov, Alexander I. On fractional Laplacians. II. (English) Zbl 1358.47030 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1667-1673 (2016). MSC: 47F05 47A20 35R11 46E35 35A23 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1667--1673 (2016; Zbl 1358.47030) Full Text: DOI arXiv
Musina, Roberta; Nazarov, Alexander I. On fractional Laplacians. III. (English) Zbl 1354.35179 ESAIM, Control Optim. Calc. Var. 22, No. 3, 832-841 (2016). MSC: 35R11 35A23 26D10 46N20 46E35 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, ESAIM, Control Optim. Calc. Var. 22, No. 3, 832--841 (2016; Zbl 1354.35179) Full Text: DOI
Kozlov, Vladimir; Nazarov, Alexander Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge. (English) Zbl 1333.35310 J. Math. Anal. Appl. 435, No. 1, 210-228 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35R05 35K15 35B65 65M80 PDFBibTeX XMLCite \textit{V. Kozlov} and \textit{A. Nazarov}, J. Math. Anal. Appl. 435, No. 1, 210--228 (2016; Zbl 1333.35310) Full Text: DOI arXiv
Nazarov, A. I.; Repin, S. I. Exact constants in Poincaré type inequalities for functions with zero mean boundary traces. (English) Zbl 1348.46041 Math. Methods Appl. Sci. 38, No. 15, 3195-3207 (2015). MSC: 46E35 26D10 65N15 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{S. I. Repin}, Math. Methods Appl. Sci. 38, No. 15, 3195--3207 (2015; Zbl 1348.46041) Full Text: DOI arXiv
Musina, Roberta; Nazarov, Alexander I. On the Sobolev and Hardy constants for the fractional Navier Laplacian. (English) Zbl 1352.46035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 123-129 (2015). MSC: 46E35 47L05 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 123--129 (2015; Zbl 1352.46035) Full Text: DOI arXiv
Kuznetsov, Nikolay; Nazarov, Alexander Sharp constants in the Poincaré, Steklov and related inequalities (a survey). (English) Zbl 1321.26042 Mathematika 61, No. 2, 328-344 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. Kuznetsov} and \textit{A. Nazarov}, Mathematika 61, No. 2, 328--344 (2015; Zbl 1321.26042) Full Text: DOI
Kozlov, V.; Nazarov, A. Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients. (English) Zbl 1338.35212 Apushkinskaya, Darya (ed.) et al., Proceedings of the St. Petersburg Mathematical Society. Vol. XV. Advances in mathematical analysis of partial differential equations. Workshop dedicated to the 90th anniversary of the O. A. Ladyzhenskaya birthday, Stockholm, Sweden, July 9–13, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1551-8/hbk). Translations. Series 2. American Mathematical Society 232, 177-191 (2014). Reviewer: Petar Popivanov (Sofia) MSC: 35K20 PDFBibTeX XMLCite \textit{V. Kozlov} and \textit{A. Nazarov}, Transl., Ser. 2, Am. Math. Soc. 232, 177--191 (2014; Zbl 1338.35212)
Musina, Roberta; Nazarov, Alexander I. On fractional Laplacians. (English) Zbl 1304.47061 Commun. Partial Differ. Equations 39, No. 9, 1780-1790 (2014). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 47F05 35J05 35R11 26A33 35R09 45K05 PDFBibTeX XMLCite \textit{R. Musina} and \textit{A. I. Nazarov}, Commun. Partial Differ. Equations 39, No. 9, 1780--1790 (2014; Zbl 1304.47061) Full Text: DOI arXiv Backlinks: MO
Kozlov, Vladimir; Nazarov, Alexander The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge. (English) Zbl 1295.35243 Math. Nachr. 287, No. 10, 1142-1165 (2014). MSC: 35K20 35R05 35B33 35K59 PDFBibTeX XMLCite \textit{V. Kozlov} and \textit{A. Nazarov}, Math. Nachr. 287, No. 10, 1142--1165 (2014; Zbl 1295.35243) Full Text: DOI arXiv
Nazarov, A. I. On the Dirichlet problem generated by the Maz’ya-Sobolev inequality. (English) Zbl 1288.35256 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 369-389 (2014). Reviewer: Giovanni Anello (Messina) MSC: 35J62 35J20 35J70 49J10 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Calc. Var. Partial Differ. Equ. 49, No. 1--2, 369--389 (2014; Zbl 1288.35256) Full Text: DOI arXiv
Nazarov, A. I.; Poborchi, S. V. On validity conditions for the Poincaré inequality. (English) Zbl 1303.46026 J. Math. Sci., New York 195, No. 1, 61-63 (2013) and Zap. Nauchn. Sem. POMI 410, 104-109 (2013). MSC: 46E35 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{S. V. Poborchi}, J. Math. Sci., New York 195, No. 1, 61--63 (2013; Zbl 1303.46026) Full Text: DOI
Nazarov, A. I. Trace Hardy-Sobolev inequalities in cones. (English. Russian original) Zbl 1237.46018 St. Petersbg. Math. J. 22, No. 6, 997-1006 (2011); translation from Algebra Anal. 22, No. 6, 200-213 (2010). MSC: 46E35 26D10 26D15 PDFBibTeX XMLCite \textit{A. I. Nazarov}, St. Petersbg. Math. J. 22, No. 6, 997--1006 (2011; Zbl 1237.46018); translation from Algebra Anal. 22, No. 6, 200--213 (2010) Full Text: DOI
Nazarov, Alexander; Reznikov, Alexander Attainability of infima in the critical Sobolev trace embedding theorem on manifolds. (English) Zbl 1213.46031 Arkhipova, Aina A. (ed.) et al., Nonlinear partial differential equations and related topics. Dedicated to Nina U. Uraltseva on the occasion of her 75th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4997-2/hbk). Translations. Series 2. American Mathematical Society 229; Advances in the Mathematical Sciences 64, 197-210 (2010). MSC: 46E35 PDFBibTeX XMLCite \textit{A. Nazarov} and \textit{A. Reznikov}, Transl., Ser. 2, Am. Math. Soc. 229, 197--210 (2010; Zbl 1213.46031)
Nazarov, A. I.; Reznikov, A. B. On the existence of an extremal function in critical Sobolev trace embedding theorem. (English) Zbl 1201.46033 J. Funct. Anal. 258, No. 11, 3906-3921 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{A. B. Reznikov}, J. Funct. Anal. 258, No. 11, 3906--3921 (2010; Zbl 1201.46033) Full Text: DOI
Kozlov, Vladimir; Nazarov, Alexander The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients. (English) Zbl 1179.35078 Math. Nachr. 282, No. 9, 1220-1241 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 35B45 35K55 35K20 35R05 PDFBibTeX XMLCite \textit{V. Kozlov} and \textit{A. Nazarov}, Math. Nachr. 282, No. 9, 1220--1241 (2009; Zbl 1179.35078) Full Text: DOI arXiv
Nazarov, A. I.; Petrova, A. N. On exact constants in some embedding theorems of high order. (English. Russian original) Zbl 1181.46027 Vestn. St. Petersbg. Univ., Math. 41, No. 4, 298-302 (2008); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 4, 16-20 (2008). MSC: 46E35 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{A. N. Petrova}, Vestn. St. Petersbg. Univ., Math. 41, No. 4, 298--302 (2008; Zbl 1181.46027); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 4, 16--20 (2008) Full Text: DOI
Nazarov, Alexander I. Dirichlet and Neumann problems to critical Emden-Fowler type equations. (English) Zbl 1295.49003 J. Glob. Optim. 40, No. 1-3, 289-303 (2008). MSC: 49J20 35J20 35J60 PDFBibTeX XMLCite \textit{A. I. Nazarov}, J. Glob. Optim. 40, No. 1--3, 289--303 (2008; Zbl 1295.49003) Full Text: DOI
Ivanov, S. V.; Nazarov, A. I. Weighted Sobolev-type embedding theorems for functions with symmetries. (English. Russian original) Zbl 1126.46022 St. Petersbg. Math. J. 18, No. 1, 77-88 (2007); translation from Algebra Anal. 18, No. 1, 108-123 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 26D15 35A30 PDFBibTeX XMLCite \textit{S. V. Ivanov} and \textit{A. I. Nazarov}, St. Petersbg. Math. J. 18, No. 1, 77--88 (2007; Zbl 1126.46022); translation from Algebra Anal. 18, No. 1, 108--123 (2006) Full Text: DOI
Dem’yanov, A. V.; Nazarov, A. I. On the existence of extremal functions in Sobolev embedding theorems with critical exponents. (English. Russian original) Zbl 1113.49010 St. Petersbg. Math. J. 17, No. 5, 773-796 (2006); translation from Algebra Anal. 17, No. 5, 105-140 (2005). MSC: 49J40 49K30 35J20 35J60 PDFBibTeX XMLCite \textit{A. V. Dem'yanov} and \textit{A. I. Nazarov}, St. Petersbg. Math. J. 17, No. 5, 773--796 (2006; Zbl 1113.49010); translation from Algebra Anal. 17, No. 5, 105--140 (2005) Full Text: DOI
Nazarov, A. I. On solutions to the Dirichlet problem for an equation with \(p\)-Laplacian in a spherical layer. (English. Russian original) Zbl 1387.35249 Uraltseva, N.N. (ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. X. Transl. from the Russian by Tamara Rozhkovskaya. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3861-X/hbk). Translations. Series 2. American Mathematical Society 214, 29-57 (2005); translation from Tr. St-Peterbg. Mat. Obshch. 10, 33-62 (2004). MSC: 35J60 35B33 35J20 35J25 35P30 46E35 47J30 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Transl., Ser. 2, Am. Math. Soc. 214, 29--57 (2005; Zbl 1387.35249); translation from Tr. St-Peterbg. Mat. Obshch. 10, 33--62 (2004) Full Text: DOI
Nazarov, A. I. Hardy–Sobolev inequalities in a cone. (Russian, English) Zbl 1099.26018 Probl. Mat. Anal. 31, 39-46 (2005); translation in J. Math. Sci., New York 132, No. 4, 419-427 (2006). MSC: 26D15 42B30 46E35 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Probl. Mat. Anal. 31, 39--46 (2005; Zbl 1099.26018); translation in J. Math. Sci., New York 132, No. 4, 419--427 (2006) Full Text: DOI
Nazarov, A. I. On the nonstationary two-phase Venttsel problem in the transversal case. (Russian, English) Zbl 1099.35044 Probl. Mat. Anal. 28, 71-82 (2004); translation in J. Math. Sci., New York 122, No. 3, 3251-3264 (2004). MSC: 35K55 35K10 35K20 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Probl. Mat. Anal. 28, 71--82 (2004; Zbl 1099.35044); translation in J. Math. Sci., New York 122, No. 3, 3251--3264 (2004) Full Text: DOI
Nazarov, A. I.; Shcheglova, A. P. On some properties of an extremal in a variational problem generated by the Sobolev embedding theorem. (Russian, English) Zbl 1060.46024 Probl. Mat. Anal. 27, 109-136 (2004); translation in J. Math. Sci., New York 120, No. 2, 1125-1144 (2004). Reviewer: V. Grebenev (Novosibirsk) MSC: 46E35 26B35 26D15 PDFBibTeX XMLCite \textit{A. I. Nazarov} and \textit{A. P. Shcheglova}, Probl. Mat. Anal. 27, 109--136 (2004; Zbl 1060.46024); translation in J. Math. Sci., New York 120, No. 2, 1125--1144 (2004)
Nazarov, A. I. On an exact constant in the generalized Poincaré inequality. (English. Russian original) Zbl 1050.26014 J. Math. Sci., New York 112, No. 1, 4029-4047 (2002); translation from Probl. Mat. Anal. 24, 155-180 (2002). Reviewer: V. Grebenev (Novosibirsk) MSC: 26D10 46E99 49J10 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Probl. Mat. Anal. 24, 155--180 (2002; Zbl 1050.26014); translation from Probl. Mat. Anal. 24, 155--180 (2002)
Nazarov, A. I. On the symmetry of extremals in the weight embedding theorem. (English. Russian original) Zbl 1049.49002 J. Math. Sci., New York 107, No. 3, 3841-3859 (2001); translation from Probl. Mat. Anal. 23, 50-75 (2001). Reviewer: V. Grebenev (Novosibirsk) MSC: 49J20 34B15 35J60 35P30 46E35 47J30 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Probl. Mat. Anal. 23, 50--75 (2001; Zbl 1049.49002); translation from Probl. Mat. Anal. 23, 50--75 (2001)
Apushkinskaya, Darya E.; Nazarov, Aleksandr Il. Linear two-phase Venttsel problems. (French) Zbl 1024.35036 Ark. Mat. 39, No. 2, 201-222 (2001). Reviewer: M.Fila (Bratislava) MSC: 35K20 35K60 76A20 PDFBibTeX XMLCite \textit{D. E. Apushkinskaya} and \textit{A. Il. Nazarov}, Ark. Mat. 39, No. 2, 201--222 (2001; Zbl 1024.35036) Full Text: DOI
Apushkinskaya, D. E.; Nazarov, A. I. Quasilinear two-phase Venttsel problems. (English. Russian original) Zbl 1031.35036 J. Math. Sci., New York 115, No. 6, 2704-2719 (2003); translation from Zap. Nauchn. Semin. POMI 271, 11-38 (2000). MSC: 35D10 35K65 35K55 35J60 35B45 PDFBibTeX XMLCite \textit{D. E. Apushkinskaya} and \textit{A. I. Nazarov}, J. Math. Sci., New York 115, No. 6, 2704--2719 (2000; Zbl 1031.35036); translation from Zap. Nauchn. Semin. POMI 271, 11--38 (2000) Full Text: DOI
Nazarov, A. I. The one-dimensional character of an extremum point of the Friedrichs inequality in spherical and plane layers. (English. Russian original) Zbl 1002.46025 J. Math. Sci., New York 102, No. 5, 4473-4486 (2000); translation from Probl. Mat. Anal. 20, 171-190 (2000). Reviewer: V.Grebenev (Novosibirsk) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Probl. Mat. Anal. 20, 171--190 (2000; Zbl 1002.46025); translation from Probl. Mat. Anal. 20, 171--190 (2000)
Nazarov, A. I. On exact constant in a one-dimensional embedding theorem. (English. Russian original) Zbl 0961.46020 J. Math. Sci., New York 101, No. 2, 2975-2986 (2000); translation from Probl. Mat. Anal. 19, 149-163 (1999). Reviewer: S.G.Pyatkov (Novosibirsk) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{A. I. Nazarov}, Probl. Mat. Anal. 19, 164--181 (1999; Zbl 0961.46020); translation from Probl. Mat. Anal. 19, 149--163 (1999)